Answer:
B
Step-by-step explanation:
Use the distance formula in 3 dimensions
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2 }[/tex]
with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)
d = [tex]\sqrt{(8-3)^2+(4-4)^2+(-2-10)^2}[/tex]
= [tex]\sqrt{5^2+0^2+(-12)^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13 → B
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Someone please help!! I’ll give brainliest:))
Guys please help I’m having so much trouble
Answer:
Hello! Your answer would be B)B
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia
ASAP someone please use the Pythagorean Theorem to solve for the missing side of these two right triangles.
Answer:
9) x = 5
10) x = 4
Step-by-step explanation:
a^2 + b^2 = c^2
9) 6^2 + x^2 = 8^2
- 36 + x^2 = 64
- 36 - 36
_______________
x^2 = 28
Square root them
Squareroot x^2 is x
Square root 28 is 5.29 round is 5
so x = 5
*Correct me if im wrong*
10) 3^2 + x^2 = 5^2
9 + x^2 = 25
- 9 - 9
____________________
x^2= 16
Square root them
square root of x ^2 is x and square root of 16 is 4
so x = 4
what is the value of v in the equation -25=-(4v+7)+10
Answer:
-25 = -(4v+7)+10
-25 = -4v-7+10
-25 = -4v+3
4v = 3+25
4v = 28
v = 28 ÷ 4
v = 7
Answer:
Therefore the value of v in the equation is 7
HELP WILL GIVE BRAINLY NO LINKS PLS
Answer:
♨ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}}: [/tex]
∠ FED = 115° , ∠ CEB = 160° , ∠ AEF = x°✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: F \: I \: N \: D}}} }: [/tex]
Value of x✎ [tex] \underline{ \underline{ \large{ \tt{ \: S \: O \: L \: U \: T\: I\: O\: N}}} }: [/tex]
☃ [tex] \large{ \tt{\angle \: CEG = \angle \: \: FED\: }}[/tex] [ Being vertically opposite angle ]
↣ [tex] \large{ \tt{ \angle \: CEG = 115 \degree}}[/tex]
☼ [tex] \large{ \tt{ \angle \: GEB = \angle \: CEB - \angle \: ceg}}[/tex]
⇢ [tex] \large{ \tt{ \angle \: GEB = 160 \degree - 115 \degree = \underline{ 45 \degree}}}[/tex]
☥ [tex] \large{ \tt{ \angle \: AEC= \angle \: GEB}}[/tex] [ Being vertically opposite angles ]
⇾ [tex] \huge{ \boxed{ \underline{ \large{ \tt{x = 45 \degree}}}}}[/tex]
♕ Hope I helped ! ♡
☄Have a wonderful day / night ! ☃
❀[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]✑
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
The probability that a person cannot read is 0.85 what is the probability that 2 people selected at random will be unable to read
Answer: 0.7225
Step-by-step explanation:
Since the probability that a person cannot read is 0.85. The probability that 2 people selected at random will be unable to read will be gotten by multiplying the value of the probability given twice. This will be
= P(not read) × P(not read)
= 0.85 × 0.85
= 0.7225
Therefore, the probability that 2 people selected at random will be unable to read is 0.7225
A car that is purchased got 24000 is expected to depreciate at a rate of 7% per year. If the function f(x)=ab^x models this situation, which function could be used to find the value of the car after 10 years?
Answer:
FV= 24,000*(1.07^-10)
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $24,000
Decrease rate (d)= 7%
Number of periods (n)= 10 years
To calculate the value of the car after 10 years, we need to use the following formula:
FV= PV*(1+d)^-n
FV= 24,000*(1.07^-10)
FV= $12,200.38
Similar right triangles
Find the value of x.
Question 8
1 pts
Write the equation of a line that passes through the point (-5,-4) and has
a slope of 1/5.
O y = 0.2x + 3
O y = 0.2x - 3
O y=-3x -0.2
O y = 0.2x - 4
< Previous
Next →
Answer:
B) y=1/5x-3 where 1/5=0.2.
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=1/5(x-(-5))
y+4=1/5(x+5)
y=1/5x+5/5-4
y=1/5x+1-4
y=1/5x-3
L=10 in W=5in H=8in find the volume?
Answer:
V = 400in.
Step-by-step explanation:
We are given the measurements of what can be assumed to be a rectangular prism, and we need to find the volume.
When finding volume of a rectangular prism, we need to multiply length by width by height.
So we know all of these,
L = 10in
W = 5in
H = 8in
V = LWH
Substitute :
V = (10)(5)(8)
Mutiply :
V = (50)(8)
Multiply :
V = 400in.
Answer:
the formula to find volume is length times width times height.
Step-by-step explanation:
10 times 5 = 50 then multiply 50 by 8 which equals 400. brainliest :0
Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants.
How many different outfits can Alphonsus put together with his new clothes?
A. 1
B. 3
C. 4
D. 7
E. 12
This graph represents the function f(x)=sin(2x)
Answer:
a
Step-by-step explanation:
a is the correct statement because there is a relative minimum at 3pi/4 and y values are negative on the interval [pi/2,pi]
The function is negative on the interval (π/2, π) option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a graph of a sin function shown in the picture.
As we know the sin function can be defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is the amplitude of the function.
The sin function is:
f(x) = sin(2x)
From the graph, the region between (π/2, π) the function values is negative because the function exists in the IV quadrant.
Thus, the function is negative on the interval (π/2, π) option (A) is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ2
Need help solving these questions!!! PLEASE HELP AS SOON AS YOU CAN!! 7.
Use the figure below to identify angle pairs: Picture included
Part I:Name a pair of angles that are complementary and adjacent. (1 point)
Part II: Name a pair of angles that are complementary but not adjacent. (1 point)
Part III: Name a pair of angles that are supplementary and adjacent. (1 point)
Part IV: Name a pair of angles that are supplementary but not adjacent. (1 point)
8. Use the figure below to identify and name points. (second picture)
Part I: Name three points that are collinear. (1 point)
Part II: Name three points that are noncollinear. (1 point)
If CD is the perpendicular bisector of AB , then _____ = EB and m
Answer:
Step-by-step explanation::)
Which expression shows the amount would you pay if your lunch bill is X and you leave(pay) a 15% tip?
a) x - 0.15x
b) x + 0.15x
c) 1.15x - x
d) 2.15x
Answer:
Step-by-step explanation:
(b) is correct. x represents the bill and 0.15 represents the 15% tip on that bill.
Can someone help me with these 3 Spanish questions? ty
Answer:
1. A
2. C
3. A
Hope this helped!
37).
I have read 313 pages of my 1298 pages book. How many pages
must I read until I reach the middle?
Answer:
336
Step-by-step explanation:
Answer:
you should read 336 pages for you to reach the middle.
Step-by-step explanation:
1298/2--649
649-313--336
Liah randomly selected 25% of the seventh-grade students in her school and asked
them their favorite season. Of the students surveyed, 53 chose summer as their
favorite season. Based on the data, what is the most reasonable prediction of the
number of seventh-grade students in her school who would choose summer as their
favorite season?
Answer:
212
Step by Step Explanation:
out of 1/4 of the school, 53 chose summer
53*4=212
What is the solution to the equation 4/5x=3/10(x+4)?
Oz= -8
O x = 12
O infinitely many solutions
O no solution
Answer:
[tex]\frac{12}{5}[/tex]
Step-by-step explanation:
4/5x=3/10(x+4) / · 10
8x=3(x+4)
8x=3x+12
8x-3x=12
5x=12 /:5
x=12/5
Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What
distance will Dallas run from point A to point B?
30 yards
48 yards
50 yards
98 yards
Answer:
B 48 yards
Step-by-step explanation:
Please help ASAP!!
A turtle and a snail are 360 meters (who counts this again?) apart, and they start to move towards each other at 3 pm. If the turtle is 11 times as fast as the snail, and they met at 3:40 pm, find the speed of each.
Thank you!! :)
Answer:
Turtle = 11 m / min
Snail = 1 m / min
Total approach speed = 12 m/min
360 m / (12 m/min) = 30 min
Separation is 30 min at assumed speed of 1 m/min
But we know the separation is 40 min
So turtle moves at 3/4 * 11 m / min = 33 m/ 4 min
Snail moves at 3/4 * 1 m /min = 3/4 m / mi
Total approach speed = (33 + 3) / 4 = 9 m / min
So in 40 min
9 m / min * 40 min = 360 m
(Leaving out those units, they approach at 12 * unit of speed)
So the unit of speed has to be 360 m / 40 min = 9 m / min
how do you solve this?? please answer quick!!
Answer:
X is 10 Y is 6
Step-by-step explanation:
A rectangle 9 cm long is equal in area to a square which has a perimeter of 24 cm,find the width of the rectangle.
I want the explanation
Answer:
3cm
Step-by-step explanation:
The length of a rectangle Is 9cm
The perimeter Is 24
Let the width be x
Therefore the width can be calculated as follows
Perimeter= 2(length+width)
24= 2(9+x)
24= 18+2x
24-18= 2x
6= 2x
x= 6/2
x= 3cm
Hence tbe width is 3cm
What time is shown on this clock?
six forty-three
seven forty-three
eight thirty-two
nine thirty-two
Answer:
theres no clock
Step-by-step explanation:
Find the measure of angle DAB in the given figure.
a)46
b)25
c) none
area of triangle with 5 cm radius
Maria sets a goal of jogging 17.4 miles this week.She plans on running 2.75 miles each day for 7 dadys.If she follows her plan,witch is true?
Step-by-step explanation:
Given
Maria goal's is to Jog 17.4 miles
She runs 2.75 miles each day for 7 days
Total distance covered by her in 7 days
[tex]\Rightarrow 2.75\times 7=19.25\ \text{miles}[/tex]
So, she covers more than what she had planned.
Therefore, she is successful in her plan.
Refer to the given figure. If QR=3x+4, KL=15, JL=2x+10, find the measure of JL. A. 2 B. 6 C. 18 D. 22
Answer:
Option C
Step-by-step explanation:
From the given figure, it is clear that the two triangles are similar to each other with QR = KL
As we know
QR = 3x+4 and KL = 15, we can derive the value of X
3X+4 = 15
X = 11/3
Jl = 2X + 10 = 2*11/3 +10 = 22 +30/3 = 52/3 = 18
hence, option C is correct
You deposit $800 in the bank and you earn 12% compounded weekly.
Henry visits the library once every 6 days while James visits it once every 4 days. Both meet each other at the library for the second time on Thursday. On which day of the week did they meet each other for the first time?
Answer:
They met on Sunday for the first time.
Step-by-step explanation:
This can be found out by taking the LCM
The factors of 6 = 1*2*3
The factors of 4= 1*2*2
LCM = 2*2*3= 12
They both will meet on the 12 day for the second time.
If Thursday is the 12th day then counting backwards , they met on Sunday for the first time.